Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003ap%26ss.288..581k&link_type=abstract
Astrophysics and Space Science, v. 288, Issue 4, p. 581-590 (2003).
Astronomy and Astrophysics
Astrophysics
1
Scientific paper
The techniques used for the numerical computation of families of periodic orbits of dynamical systems rely on predictor-corrector algorithms. These algorithms usually depend on the solution of systems of approximate equations constructed from the periodicity conditions of these orbits. In this contribution we transform the rootfinding procedure to an optimization one which is applied on an objective function based on the exact periodicity conditions. Thus, the determination of periodic solutions and families of such orbits can be accomplished through unconstrained optimization. In this paper we apply and compare some well-known minimization methods for the solution of this problem. The obtained results are promising.
Kalantonis V. S.
Perdios E. A.
Perdiou A. E.
Ragos Omiros
Vrahatis M. N.
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